Y=x. arctan(x)^1/2. find dy/dx. pls show steps

Use the product rule first:

Use the chain rule to compute the derivative of . Let and take , so that by the chain rule

So we have

You can rewrite this a bit by factoring , just to make it look neater:

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

1. 3

2. 4

3. 1

hope this ! have a great day.

-wfz